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Finding the Fourth Proportional to 698.99, 1,048.49 and 212.04

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Solution

The fourth proportional to 698.99, 1,048.49 and 212.04 is: 318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.99 : 1,048.49 = 212.04 : x
  2. Step 2: Convert to fraction form
    698.99/1,048.49 = 212.04/x
  3. Step 3: Cross multiply
    698.99x = 1,048.49 × 212.04
  4. Step 4: Simplify right side
    698.99x = 222,320.76
  5. Step 5: Solve for x
    x = 222,320.76/698.99
  6. Step 6: Final answer
    x = 318.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.